Point simpliciality in Choquet theory on nonmetrizable compact spaces

@inproceedings{Kraus2011PointSI,
  title={Point simpliciality in Choquet theory on nonmetrizable compact spaces},
  author={Michal Kraus},
  year={2011}
}
Abstract Let H be a function space on a compact space K. The set of simpliciality of H is the set of all points of K for which there exists a unique maximal representing measure. Properties of this set were studied by M. Bacak in the paper Point simpliciality in Choquet representation theory, Illinois J. Math. 53 (2009) 289–302, mainly for K metrizable. We study properties of the set of simpliciality for K nonmetrizable.